1289457904849 has 9 divisors (see below), whose sum is σ = 1302467066779. Its totient is φ = 1276577440600.

The previous prime is 1289457904831. The next prime is 1289457904859. The reversal of 1289457904849 is 9484097549821.

The square root of 1289457904849 is 1135543.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1238895885249 + 50562019600 = 1113057^2 + 224860^2 .

It is not a de Polignac number, because 1289457904849 - 2¹⁵ = 1289457872081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1289457904829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114684222 + ... + 114695464.

Almost surely, 2^{1289457904849} is an apocalyptic number.

1289457904849 is the 1135543-rd square number.

1289457904849 is the 567772-nd centered octagonal number.

It is an amenable number.

1289457904849 is a deficient number, since it is larger than the sum of its proper divisors (13009161930).

1289457904849 is an frugal number, since it uses more digits than its factorization.

1289457904849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22688 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 1289457904849 in words is "one trillion, two hundred eighty-nine billion, four hundred fifty-seven million, nine hundred four thousand, eight hundred forty-nine".